Writing Equations from Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear equation represent?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What does the y-intercept in a linear equation represent?

Back

The y-intercept (b) is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

How do you write a linear equation from a word problem?

Back

Identify the variables, determine the rate of change, and find the initial value. Then, use the form y = mx + b to write the equation.

Front

Write the linear equation for Lisa's savings after x weeks.

Back

Front

Write the linear equation for the height of the balloon after x minutes.

Back

Front

Write the linear equation for Tim's computer depreciation after x years.

Back

Front

Write the linear equation for the water tank after x minutes of filling.

Back

Front

Write the equation for Bob's Plumbing charges after x hours.

Back

Front

What is the initial value in a linear equation?

Back

The initial value is the starting point of the dependent variable (y) when the independent variable (x) is zero.